Different shapes and Origami
(The World of 2-dimension)

(4) Fold the Origami into √a(root a)

We know Origami isn't just a craft to make models.
Now, we are challenged to get an irrational number by using Origami.
Use your brain and fingers, of course!!

I bet you can do it!! (Do you think it's possible?)

Folding √a(root a)

Apply this method, then you get the √2~√8 ,by using folding Origami. The one side will be 2 in length conditionally.

You apply the theorem of Pythagoras:
You can find the length of √2 ﾉ√8 from the side of the right triangle.

　< Folding √2 >　　　　　　 < Folding √3>

　　　　　　

<Folding √4=2>　　　　　　＜Folding √5＞ 　　　　　　　　　
　　　　　　

　　　　　　　　　　　＜Folding √6＞

　　< Folding √7 (after Folding √3)>

　　＜Folding √8＞

We have never thought of folding Origami to produce the irrational numbers, have we? Even Pythagoras must be surprised with this.
You've got to understand the theorem of Pythagorasﾉright??

　areasolid